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Finding the Fourth Proportional to 167.84, 231.54 and 102.32

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Solution

The fourth proportional to 167.84, 231.54 and 102.32 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.54 = 102.32 : x
  2. Step 2: Convert to fraction form
    167.84/231.54 = 102.32/x
  3. Step 3: Cross multiply
    167.84x = 231.54 × 102.32
  4. Step 4: Simplify right side
    167.84x = 23,690.02
  5. Step 5: Solve for x
    x = 23,690.02/167.84
  6. Step 6: Final answer
    x = 141.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.